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Finding the Fourth Proportional to 19,803.20, 29,704.80 and 8,124.80

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Solution

The fourth proportional to 19,803.20, 29,704.80 and 8,124.80 is: 12,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.20 : 29,704.80 = 8,124.80 : x
  2. Step 2: Convert to fraction form
    19,803.20/29,704.80 = 8,124.80/x
  3. Step 3: Cross multiply
    19,803.20x = 29,704.80 × 8,124.80
  4. Step 4: Simplify right side
    19,803.20x = 241,345,559.04
  5. Step 5: Solve for x
    x = 241,345,559.04/19,803.20
  6. Step 6: Final answer
    x = 12,187.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.